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Finding the Fourth Proportional to 3,546.39, 5,319.18 and 949.53

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Solution

The fourth proportional to 3,546.39, 5,319.18 and 949.53 is: 1,424.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.39 : 5,319.18 = 949.53 : x
  2. Step 2: Convert to fraction form
    3,546.39/5,319.18 = 949.53/x
  3. Step 3: Cross multiply
    3,546.39x = 5,319.18 × 949.53
  4. Step 4: Simplify right side
    3,546.39x = 5,050,720.99
  5. Step 5: Solve for x
    x = 5,050,720.99/3,546.39
  6. Step 6: Final answer
    x = 1,424.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.